Some Inequalities for the Beta Function
Abstract
In this paper we establish some inequalities involving the Eulerbeta function. We use the ideas and methods that were used by A. McD. Mercer in his paper [1] for Bessel functions.
References
[1] A. McD. Mercer. Integral representations and inequalities for Bessel functions, Saim J. Math. Anal., 8(3)(1977), 486-490.
[2] M. A. Chaudary, A. Qadir, M. Rafique and S. M. Zubair. Extension of Euler's beta function, J. Comput. Appl. Math., 78(1)(1997),19-32.
[3] M. A. Chaudary abd S. M. Zubair. Generalized incomplete gamma function with applications, J. Comput. Appl. Math., 55(1)(1994), 99-123.
[4] D. M. Lee, A. K. Rathie, R. K. Parmar and Y. S. Kim. Generalization of extended beta function, hypergeometric and conuent hypergeometric function, Honam Mathematical J.,
33(2)(2011), 187-206.
[5] E. D. Rainville. Special functions, Macmillan Company, New York, 1960.
[2] M. A. Chaudary, A. Qadir, M. Rafique and S. M. Zubair. Extension of Euler's beta function, J. Comput. Appl. Math., 78(1)(1997),19-32.
[3] M. A. Chaudary abd S. M. Zubair. Generalized incomplete gamma function with applications, J. Comput. Appl. Math., 55(1)(1994), 99-123.
[4] D. M. Lee, A. K. Rathie, R. K. Parmar and Y. S. Kim. Generalization of extended beta function, hypergeometric and conuent hypergeometric function, Honam Mathematical J.,
33(2)(2011), 187-206.
[5] E. D. Rainville. Special functions, Macmillan Company, New York, 1960.
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Published
2017-04-09
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